A jogger runs at an average speed of 5.9 mi/h. If she starts a run at 11:15 am, what time is it after she covers 4.75 x 104 ft

Answer

The answer is that is would cost $  to buy 3 bags of popcorn and 4 sodas.

Step-by-step explanation:

To answer this question you will set up a system of equations to represent each scenario.  Solve for one variable and substitute that in to the other equation to find the missing value.  This example will have you solving for p, the price of popcorn or s for the price of soda.

The equation for the first night would look like where p is popcorn and s is soda:

4p + 6s = 32.70

The equation for the second night would look like where p is popcorn and s is soda:

2p + 4s = 19.30

so first you'd solve the first equation and it would look like this:

4p + 6s = 32.70

-4p       -4p         *minus 4p from both sides*

6s = -4p + 32.70

/6       /6              *divided by 6 on both sides*

s = 5.45 − 2/3p

Then put (-2/3p + 5.45) into the second equation for S. Then solve which will look like this:

2p + 4 (−2/3p + 5.45)

2p − 8/3p + 21.8 = 19.3

*To write 2p as a fraction with a common denominator, multiply by

3/3*

2p ⋅ 33 − 8/3p + 21.8 = 19.3

*simplify terms*

2p ⋅ 3 - 8/3p + 21.8 = 19.3

−2/3p + 21.8 = 19.3

          - 21.8   - 21.8

-2/3p = -2.5

/(-2/3)   /(-2/3)

p = 3.5  

The price of popcorn is 3.50 and the soda is  5.45 − 2/3(3.5) *filling in 3.50 for P* which equals 3.11

So 3 bags of popcorn and 4 sodas will cost 22.94.

my answer my not be right but the process is. so try to go through it yourself.

The matrix a will have two distinct eigenvalues when a ≠ c or when b ≠ 0.

To find the conditions under which the matrix a has two distinct eigenvalues, we need to consider the eigenvalue equation a - λI = 0, where λ is an eigenvalue and I is the identity matrix. The determinant of this equation gives us the characteristic polynomial, which we can solve to find the eigenvalues.

The characteristic polynomial is given by det(a - λI) = (a - λ)(c - λ) - b² = λ² - (a + c)λ + ac - b². For the matrix to have two distinct eigenvalues, the discriminant of this quadratic equation, (a + c)^2 - 4(ac - b²), must be greater than zero.

Expanding the discriminant, we get (a²+ 2ac + c²) - 4ac + 4b² = a² - 2ac + c² + 4b². Simplifying further, we have (a - c)² + 4b² > 0.

Since a and c are nonzero constants, the expression (a - c)² will always be positive. Therefore, for the matrix a to have two distinct eigenvalues, we need the term 4b² to be greater than zero, which implies that b ≠ 0.

In summary, the matrix a will have two distinct eigenvalues when a ≠ c (or equivalently, a - c ≠ 0) and when b ≠ 0. These conditions ensure that the discriminant of the characteristic polynomial is positive, indicating the presence of two distinct eigenvalues.

Learn more about Eigenvalues

brainly.com/question/32607531

#SPJ11

This question is incomplete

Complete Question

You are in a bike race. When you get to the first checkpoint, you are 2/5 of the distance to the second checkpoint. When you get to the second check point, you are 1/4 of the distance to the finish. If the entire race is 40 miles, what is the distance between the start and the first check point?

Answer:

4 miles

Step-by-step explanation:

When you get to the first checkpoint, you are 2/5 of the distance to the second checkpoint. When you get to the second check point, you are 1/4 of the distance to the finish.

Hence, the distance between the start and the first check point is given by the fraction:

2/5 × 1/4

= 2/20 = 1/10

We are told that the: entire race = 40 miles

Hence, 1/10 × 40 miles

= 4 miles.

The distance between the start and the first check point is 4 miles

I think its The equation of a circle with its center at the origin is x2 + y2 = r2. Replacing the x and y in this equation with –5 and 12, respectively, you get (–5)2 + (12)2 = 25 + 144 = 169 = r2. The square root of 169 is 13, so the radius is 13.

False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

To learn more about cell frequency

https://brainly.com/question/31994396

#SPJ11

Answer:

4.4

Step-by-step explanation:

plz mark the brainliest.

to find it answer, you just do 44 times 10%

Answer:

24

Step-by-step explanation:

Volume of a cuboid = length*base*height or 4*2*3=24. The volume of this cuboid is 24.

As we go to high numbers of segments, if we double the number of segments, the error is to be multiplied by 1/4

The inaccuracy should often reduce as we increase the number of segments in the composite rectangle rule integration. In particular, with the composite rectangle rule, we estimate the error to be roughly increased by 1/4 if the number of segments is ideally doubled.

Because of this, the composite rectangle rule's error, which is determined by the formula (b-a)/n. In the given equation, b denotes upper bound of integration, a denotes lower bound of integration, and n denotes total number of segments, which is inversely proportional to the width of the segments. The width of the segments changes to (b-a)/(2n), which is half of their initial width, when the number of segments is doubled. Thus, the mistake should be multiplied by 1/4 or split by 4.

Complete Question:

As we go to high numbers of segments, if we double the number if segments in composite rectangle rule integration, we expect the error to be multiplied by approximately what?

a. 1/2

b. 1/4

c. 2

d. 4

Read more about segments on:

https://brainly.com/question/28554913

#SPJ4

Integrating with respect to u first ∫∫S √(1 + x² + y²) dS = ∫[0 to 2π] ∫[0 to 3] (u√(2u² + 1)) du dv integral the final numerical value of the surface integral over the helicoid S.

To evaluate the surface integral ∫∫S √(1 + x² + y²) dS over the helicoid S given by r(u,v) = ucos(v)i + usin(v)j + vk, with 0 ≤ u ≤ 3 and 0 ≤ v ≤ 2 use the surface area element dS and express it in terms of u and v.

The surface area element dS for a parametric surface given by r(u,v) = x(u,v)i + y(u,v)j + z(u,v)k is calculated as follows:

dS = |∂r/∂u x ∂r/∂v| du dv

Let's find the partial derivatives of r(u,v) with respect to u and v:

∂r/∂u = cos(v)i + sin(v)j + k

∂r/∂v = -usin(v)i + ucos(v)j

Taking the cross product of these partial derivatives:

∂r/∂u x ∂r/∂v = (cos(v)i + sin(v)j + k) x (-usin(v)i + ucos(v)j)

= (-u cos²(v) - u sin²(v))i + (-u cos(v)sin(v) + u cos(v)sin(v))j + (cos²(v) + sin²(v))k

= -u(i + j) + k

Now, calculate the magnitude of ∂r/∂u x ∂r/∂v:

|∂r/∂u x ∂r/∂v| = √((-u)² + (-1)² + 0²)

= √(u² + 1)

the surface area element expressed in terms of u and v:

dS = √(u² + 1) du dv

Finally,  set up the integral:

∫∫S √(1 + x² + y²) dS = ∫∫R √(1 + (ucos(v))² + (usin(v))²) √(u² + 1) du dv

where R is the region in the u-v plane corresponding to the given bounds.

To know more about Integrating here

https://brainly.com/question/31744185

#SPJ4

Answer:

\(x=\frac{5}{2}\)     or     x= -4

Step-by-step explanation:

To solve the quadratic equation, start by factorizing it.

\(2x^{2} +3x-20=0\)

(2x -5)(x +4)= 0

Since the equation equals to zero, either one of its factor, i.e. (2x -5) or (x +4), can be equal to zero.

2x -5= 0     or     x +4= 0

Solve for x:

2x= 5         or           x= -4

\(\bf{x=\frac{5}{2}}\)

_______

Alternatively, the quadratic formula can be used to solve the equation.

\(\boxed{x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a} }\)

This is especially useful when the quadratic equation cannot be factorized. To use the formula, ensure that the equation is in the form of \(ax^{2} +bx +c=0\).

Additional:

For an example on solving quadratic equations using the quadratic formula, do check out the following!

Answer: The first answer choice

AKA: y = -1.74x + 46.6

Step-by-step explanation:

the solution of the given differential equation is:y = [16 ln |x| + 8x2 + C1]1/16

The given differential equation is y15 x dy/dx = 1 + x. Now, we will solve the given differential equation.

The given differential equation is y15 x dy/dx = 1 + x. Let's bring all y terms to the left and all x terms to the right. We will then have:

y15 dy = (1 + x) dx/x

Integrating both sides, we get:(1/16)y16 = ln |x| + (x/2)2 + C

where C is the arbitrary constant. Multiplying both sides by 16, we get:y16 = 16 ln |x| + 8x2 + C1where C1 = 16C.

Hence, the solution of the given differential equation is:y = [16 ln |x| + 8x2 + C1]1/16

learn more about equation here

https://brainly.com/question/28099315

#SPJ11

Answer:

Step-by-step explanation:bbbbb

Answer:

-31

Step-by-step explanation:

74-24=50

19-50=-31

The statement "Gasoline is an ideal fuel for transportation because it has a high energy density and is highly portable" is completed correctly by the information in option (a): "high; flammable."

Gasoline is known for its high energy density, meaning it contains a significant amount of energy per unit volume. This characteristic allows vehicles to carry a sufficient amount of fuel for long-distance travel without requiring excessive storage space. Additionally, gasoline is highly portable due to its liquid form, which makes it easy to transport and dispense into vehicles.

Regarding the biggest concern associated with the use of petroleum, the correct option is (c): "carbon dioxide emissions." When petroleum products like gasoline are burned, they release carbon dioxide (CO2) into the atmosphere. CO2 is a greenhouse gas that contributes to global warming and climate change. The combustion of petroleum fuels, especially in the transportation sector, is a major source of CO2 emissions.

While other concerns such as air pollutants (particulates in the air) and environmental impacts (ground level emissions, oil spills) are also associated with petroleum use, the significant contribution of CO2 emissions to climate change makes it the most pressing concern. Addressing carbon dioxide emissions from the burning of petroleum fuels is essential to mitigate the impact of transportation on climate change and promote the use of more sustainable and cleaner energy sources.

Learn more about volume here :

https://brainly.com/question/28058531

#SPJ11

Answer: The probability that of two students randomly chosen, at least one prefers lifting weights is 0.3949.

Explanation :Let A be the event that the first student prefers lifting weights and B be the event that the second student prefers lifting weights. We need to find P(A ∪ B).P(A) = probability that the first student prefers lifting weights = 0.21P(B) = probability that the second student prefers lifting weights = 0.21P(A ∩ B) = probability that both students prefer lifting weights P(A ∪ B) = P(A) + P(B) - P(A ∩ B)We have :P(A ∩ B) = P(A) × P(B) = 0.21 × 0.21 = 0.0441P(A ∪ B) = 0.21 + 0.21 - 0.0441 = 0.3659The probability that neither student prefers lifting weights is 1 - P(A ∪ B) = 1 - 0.3659 = 0.6341So, the probability that of two students randomly chosen, at least one prefers lifting weights is 0.3949.

Know more about probability here:

https://brainly.com/question/32004014

#SPJ11

Answer:

x is the horizontal line on the middle of a graph and the y is the vertical line on the middle of a graph

Step-by-step explanation:

Answer:

xy and xy is the same, equal and congruent.

Step-by-step explanation:

By the way you write it, it looks the same.

The amplitude of the function f(x) = sin(5x) is 1

From the question, we have the following parameters that can be used in our computation:

f(x) = sin(5x)

A sinusoidal function is represented as

f(x) = Asin(B(x + C)) + D

Where

Amplitude = A

Period = 2π/B

So, we have

A = 1

Period = 2π/5

Evaluate

A = 1

Period = 2π/5

Hence, the amplitude is 1

Read more about sinusoidal function at

brainly.com/question/21286958

#SPJ1

Therefore, the value of x that will make the triangles similar by the SSS similarity theorem is approximately 73.51.

To determine the value of x that will make the triangles similar by the SSS (Side-Side-Side) similarity theorem, we need to identify the corresponding sides of the triangles and set up a proportion.

Let's denote the corresponding sides of the two triangles as follows:

Triangle 1: Side A = 15, Side B = 59, Side C = 77

Triangle 2: Side A' = 9, Side B' = x, Side C' = 96

According to the SSS similarity theorem, for two triangles to be similar, the ratios of the corresponding sides must be equal.

Therefore, we can set up the following proportion:

A / A' = B / B' = C / C'

Substituting the given values, we have:

15 / 9 = 59 / x = 77 / 96

To find the value of x, we can solve the second equation in the proportion:

59 / x = 77 / 96

Cross-multiplying, we get:

59 * 96 = 77 * x

Simplifying further:

5664 = 77x

Dividing both sides by 77:

x = 5664 / 77

Calculating this value:

x ≈ 73.51

To know more about triangles,

https://brainly.com/question/4353614

#SPJ11

Answer:

Add each given variable

(6x + 10) + (x + 2) + x = 8x + 12

The sum of all the angles equals 180ᴼ

8x + 12 = 180

Subtract 12 from both sides

8x = 168

Divide by 8 on both sides

x = 21

Now plug in 21 for each x to find the measure of each angle.

(6[21] + 10) = 126 + 10 = 136ᴼ

(21 + 2) = 23ᴼ

x = 21ᴼ

The Latin square that is balanced for residual effects is Latin Square 1.

To determine whether a Latin square is balanced for residual effects, we need to check if the order effects and carryover effects are equal across all rows and columns.

In Latin Square 1:

Order effects: Each treatment appears once in each row and column. Therefore, there are no order effects.

Carryover effects: Each treatment follows every other treatment once in each row and column. Therefore, there are no carryover effects.

Since there are no order or carryover effects in Latin Square 1, it is balanced for residual effects.

In Latin Square 2:

Order effects: Treatment A appears twice in row 1, while treatment D appears twice in row 2. Therefore, there are order effects.

Carryover effects: Treatment C follows treatment A twice in row 3, but only once in row 2. Therefore, there are carryover effects.

Since there are order and carryover effects in Latin Square 2, it is not balanced for residual effects.

Therefore, the Latin square that is balanced for residual effects is Latin Square 1.

Learn more about square here:

https://brainly.com/question/14198272

#SPJ11

Answer:

5

Step-by-step explanation:

1/6 X 6 = 1 X 5 = 5

6 X 5 = 30

The Correct Answer is 5

Answer:56.66 mi/h

Step-by-step explanation:

210 + 130 / 3.5 + 2.5 = 340 / 6

Divide by 6 and you get 56.66

Rounding to the nearest tenth 56.7 mi/h

Answer:

\(y = 2 \\ {0 \: and \:2}\)

Step-by-step explanation:

-2 + 2(3) =-2 +6 = 4 for the 2nd equation

2(-2) + 4(3) = -4 +12 = 8 for the 2nd equation

(-2,3) satisfies both equations

let x = 0, then y= 2 (0,2) is another solution

there's multiple solutions, including (-2,3) and (0,2). That eliminates all answers except the first

Try graphing the two equations. They're the same line, with an infinite number of points on the line, which means an infinite number of solutions.

Answer:

infinite number of solutions

Step-by-step explanation:

Given the 2 equations

2x = 4y + 8 → (1)

x - 2y = 4 → (2)

Rearrange (2) making x the subject by adding 2y to both sides

x = 4 + 2y → (3)

Substitute x = 4 + 2y into (1)

2(4 + 2y) = 4y + 8 ← distribute and simplify left side

8 + 4y = 4y + 8

Since both sides are the same this indicates the system has an infinite number of solutions.

one possible solution is, found by choosing a value for y and substituting into (3)

y = 1 : x = 4 + 2(1) = 4 + 2 = 6 , that is

(6, 1 )

Other possible solutions may be generated in the same way.

Answer:

proportional

Step-by-step explanation:

50/5=10

30/5=6

10/6

Answer:

2(y-3)=7+2y-3

Step-by-step explanation:

2y-6=7+2y-3

-6=7-3

-6=4

Answer:

Step-by-step explanation:

Let the number be x

14 ÷ x = \(\frac{14}{x}\)

Answer:

14 / x

Step-by-step explanation:

quotient = /

14 = 14

a number = the variable, let's call it x

Brainliest please!

Answer: 720

Step-by-step explanation:

5%=36

1%=36/5

1%=7.2

100%=7.2*100

100%=720 students

There is a total of 720 students are in Ridgewood Junior High School.

Given,
All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday.
5% of students brought their lunch.
36 students brought their lunch.
To determine how many students in total are in Ridgewood Junior High School.

the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Let there be x students in the Ridgewood Junior High School.
5% of students brought their lunch and equal to 36
so 5% of x = 36
5/100 * x = 36
x = 36*100/5
x = 36*20
x = 720

Thus, there is a total of 720 students are in Ridgewood Junior High School.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ2